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42301201320 = 23335717472149
BaseRepresentation
bin100111011001010110…
…010001101110101000
311001012001011200021000
4213121112101232220
51143113101420240
631233301315000
73025156164360
oct473126215650
9131161150230
1042301201320
1116a37a1a714
128246705a60
133cb1a58451
14209406d9a0
151178a44430
hex9d9591ba8

42301201320 has 768 divisors, whose sum is σ = 175504320000. Its totient is φ = 8846696448.

The previous prime is 42301201309. The next prime is 42301201331. The reversal of 42301201320 is 2310210324.

42301201320 is a `hidden beast` number, since 42 + 301 + 2 + 0 + 1 + 320 = 666.

42301201320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42301201309) and next prime (42301201331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42301201293 and 42301201302.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283900606 + ... + 283900754.

It is an arithmetic number, because the mean of its divisors is an integer number (228521250).

Almost surely, 242301201320 is an apocalyptic number.

42301201320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42301201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87752160000).

42301201320 is an abundant number, since it is smaller than the sum of its proper divisors (133203118680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42301201320 is a wasteful number, since it uses less digits than its factorization.

42301201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42301201320 its reverse (2310210324), we get a palindrome (44611411644).

The spelling of 42301201320 in words is "forty-two billion, three hundred one million, two hundred one thousand, three hundred twenty".